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gayaneshka [121]
2 years ago
11

20=2w what is w then?

Mathematics
1 answer:
KonstantinChe [14]2 years ago
8 0

Answer:10

Step-by-step explanation:

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Lois has 36 colored pencils. They are either green or red. For every green pencil, Lois has 3 red pencils. How many red pencils
SashulF [63]
Lois has 9 red pencils because 9x4=36
8 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE
rewona [7]

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

y= \frac{5}{7} x + 5  is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y

so the equation would be y= \frac{5}{7} x + 5

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

y=\frac{-7}{5} x+79 is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).

30 = \frac{-7}{5}(35) + y \\30 = -49 + y  \\79 = y

so the equation would be y=\frac{-7}{5} x+79

6 0
2 years ago
Does anyone understand how to do this
Lerok [7]

Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

Now we need to find the 2 numbers.  We have 2 unknowns, x and y.  That means that we have to have 2 equations.  No more than 2 no less than 2.  Solve the first equation for y.  It doesn't matter which equation you pick and which variable you choose to solve for.  If you do the work correctly, you will get the correct answers either way.  Solving the first equation for y gives you:

y=\frac{120}{x}

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

x+\frac{120}{x}=-22

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether.  Do this by multiplying everything by x to get

x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

x^2+12x+10x+120=0

Use factoring by grouping now.  

(x^2+12x)+(10x+120)=0

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0.  Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

6 0
3 years ago
14cm
BabaBlast [244]

Answer:

The answer is 336cm

Step-by-step explanation:

Multiply 24 & 14

6 0
3 years ago
The sine and cosine of one of the acute angles in a right triangle are equal. What is the tangent of the angle?
Gnoma [55]

Answer:

1

Step-by-step explanation:

Since tan(x) = sin(x)/cos(x), if sin(x) = cos(x) then tan(x) must be 1.

You can even reason that the acute angle is 45° and sin(x)=cos(x) = \frac12\sqrt2.

4 0
3 years ago
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